Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 566, 781, 228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 781, 228 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 566, 781, 228 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 566, 781, 228 is 1.
HCF(566, 781, 228) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 781, 228 is 1.
Step 1: Since 781 > 566, we apply the division lemma to 781 and 566, to get
781 = 566 x 1 + 215
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 215 and 566, to get
566 = 215 x 2 + 136
Step 3: We consider the new divisor 215 and the new remainder 136, and apply the division lemma to get
215 = 136 x 1 + 79
We consider the new divisor 136 and the new remainder 79,and apply the division lemma to get
136 = 79 x 1 + 57
We consider the new divisor 79 and the new remainder 57,and apply the division lemma to get
79 = 57 x 1 + 22
We consider the new divisor 57 and the new remainder 22,and apply the division lemma to get
57 = 22 x 2 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 566 and 781 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(57,22) = HCF(79,57) = HCF(136,79) = HCF(215,136) = HCF(566,215) = HCF(781,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 228 > 1, we apply the division lemma to 228 and 1, to get
228 = 1 x 228 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 228 is 1
Notice that 1 = HCF(228,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 566, 781, 228?
Answer: HCF of 566, 781, 228 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 781, 228 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 781, 228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.